Prime p₀= 796343069977845359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: [SG]FX
db: batch=73, k=10, 2 10 2 16 2

SPT(16)	796341423884085379	0 10 24 34 42 70 112 174 178 240 282 310 318 328 342 352	-1646093759980
STPT(10)	796341772757241251	0 2 30 32 78 80 126 128 156 158	-1297220604108
SPT(16)	796342067301972473	0 14 18 20 38 60 78 80 84 86 104 126 144 146 150 164	-1002675872886
SPT(16)	796342103476581031	0 42 112 196 216 220 226 310 318 402 408 412 432 516 586 628	-966501264328
SPT(16)	796342469100123391	0 78 150 162 190 202 220 238 300 318 336 348 376 388 460 538	-600877721968
STPT(10)	796342532267792561	0 2 6 8 18 20 30 32 36 38	-537710052798
STPT(10)	796343110073822159	0 2 30 32 60 62 90 92 120 122	40095976800
SPT(16)	796343647057957717	0 6 10 34 46 94 124 136 210 222 252 300 312 336 340 346	577080112358
SPT(16)	796343678654734003	0 16 28 66 70 136 154 226 288 360 378 444 448 486 498 514	608676888644
STPT(10)	796343939027174429	0 2 12 14 90 92 168 170 180 182	869049329070
STPT(10)	796344000080840327	0 2 30 32 42 44 54 56 84 86	930102994968